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Title:
Multiresolution decomposition of many-body Hilbert space using tensor networks
Speaker:
Abstract:
The main part of this talk will be about the use of wavelets to construct a quantum circuit that constructs quantum states for metallic phases of matter, i.e. free fermion systems with a Fermi surface. In 1D, the resulting quantum circuit is a MERA, whereas in 2D (and higher dimensions), a particular type of the so-called branching MERA is obtained. This construction provides analytical error bounds for the quality of the MERA approximation. In the second part of this talk, I will illustrate how also how the MPS approximation of a ground state also provide a multiresolution decomposition of Hilbert space, and briefly discuss some practical applications thereof.
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